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dimulka
2 months ago
15

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

tandard form. (5 points) 4, -8, and 2 + 3i
Mathematics
1 answer:
zzz [12.3K]2 months ago
4 0
A matching complex for 2+3i is required. The conjugate is 2-3i, leading to the factors (x-2-3i)(x-2+3i)=(x²-4x+4+9)=x²-4x+13. The resulting polynomial is (x-4)(x+8)(x²-4x+13)=(x²+4x-32)(x²-4x+13)=x⁴-4x³+13x²+4x³-16x²+52x-32x²+128x-416, resulting in the 4th degree polynomial: x⁴-35x²+180x-416.
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Which expression is equivalent to the given polynomial expression?
Zina [12379]
C. -31m⁴n - 8m²Step-by-step explanation:Given:(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)Required:Identify an equivalent expression for itSolution:Distributing the negative sign across the parentheses results in:9mn - 19m⁴n - 8m² - 12m⁴n - 9mnNext, we combine like terms:9mn - 9mn - 19m⁴n - 12m⁴n - 8m²This simplifies to -31m⁴n - 8m²Thus, -31m⁴n - 8m² is the equivalent expression for (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn).
6 0
2 months ago
A grocery store receives deliveries of corn from two farms, one in Iowa and the other in Ohio. Both farms produce ears of corn w
Zina [12379]

Answer:

The number of standard deviations above the mean is z_o   = 1.4607

Step-by-step explanation:

The question indicates that:

   The average weight of the corn ears from each farm is \mu=1.26

   The standard deviation for the corn ears from Iowa is \sigma_1

   The standard deviation for the corn ears from Ohio is

     \sigma_2= 0.01 + \sigma_1

     

  A randomly chosen ear of corn from Iowa weighs  x =  1.39 pounds

  The standardized score is  z = 1.645

  The weight of a randomly chosen ear of corn from Ohio measures  x_1 =  1.39\ pound

In general, the standardized score of corn weight from Iowa can be mathematically defined as:

        z  =  \frac{ 1.39 -  1.26 }{\sigma_1 }

=>     1.645 =  \frac{ 1.39 -  1.26 }{\sigma_1 }  

=>      \sigma_1 =  \frac{ 1.39 -  1.26 }{ 1.64 5}  

=>      \sigma_1  =   0.0790  

Conversely, the standardized score of corn weight from Ohio is expressed as:

         z_o  =  \frac{ 1.39 -  1.26 }{\sigma_2 }

=>     z_o=  \frac{ 1.39 -  1.26 }{0.01 + \sigma_1 }  

=>      z_o =  \frac{ 1.39 -  1.26 }{  0.089}  

=>      z_o   = 1.4607

A positive value indicates this quantity represents the number of standard deviations above the mean.

4 0
3 months ago
Every week, Jeffrey cleans out the wishing well at the park. How much money did he find this week? Use these clues to figure out
Inessa [12570]

Answer:

wasdwasfasffgj7yuf

Step-by-step explanation:

8 0
1 month ago
Read 2 more answers
Una cartulina de 20 pulgadas de ancho por 32 pulgadas de alto será utilizada para colocar un cartel. El margen en la parte super
lawyer [12517]

Response:

could I receive an English version

5 0
3 months ago
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